{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0c91a0e4",
   "metadata": {
    "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19",
    "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5",
    "execution": {
     "iopub.execute_input": "2022-11-01T20:58:25.886494Z",
     "iopub.status.busy": "2022-11-01T20:58:25.886001Z",
     "iopub.status.idle": "2022-11-01T20:58:26.943290Z",
     "shell.execute_reply": "2022-11-01T20:58:26.942221Z"
    },
    "papermill": {
     "duration": 1.066329,
     "end_time": "2022-11-01T20:58:26.946110",
     "exception": false,
     "start_time": "2022-11-01T20:58:25.879781",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import datetime\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy import stats\n",
    "from tqdm import tqdm\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import confusion_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ba912b87",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:58:26.954531Z",
     "iopub.status.busy": "2022-11-01T20:58:26.954127Z",
     "iopub.status.idle": "2022-11-01T20:58:28.521658Z",
     "shell.execute_reply": "2022-11-01T20:58:28.520401Z"
    },
    "papermill": {
     "duration": 1.574928,
     "end_time": "2022-11-01T20:58:28.524600",
     "exception": false,
     "start_time": "2022-11-01T20:58:26.949672",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(11645, 4)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>InvoiceDate</th>\n",
       "      <th>Amount</th>\n",
       "      <th>CustomerID</th>\n",
       "      <th>InvoiceDateDiff</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2021-06-11</td>\n",
       "      <td>461.696474</td>\n",
       "      <td>id0</td>\n",
       "      <td>55.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2021-06-18</td>\n",
       "      <td>414.504020</td>\n",
       "      <td>id0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2021-07-12</td>\n",
       "      <td>367.434054</td>\n",
       "      <td>id0</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2021-07-29</td>\n",
       "      <td>339.514353</td>\n",
       "      <td>id0</td>\n",
       "      <td>17.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2021-08-01</td>\n",
       "      <td>140.561638</td>\n",
       "      <td>id0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  InvoiceDate      Amount CustomerID  InvoiceDateDiff\n",
       "1  2021-06-11  461.696474        id0             55.0\n",
       "2  2021-06-18  414.504020        id0              7.0\n",
       "3  2021-07-12  367.434054        id0             24.0\n",
       "4  2021-07-29  339.514353        id0             17.0\n",
       "5  2021-08-01  140.561638        id0              3.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### SIMULATE DATA ###\n",
    "\n",
    "def generate_data(idx):\n",
    "\n",
    "    while True:\n",
    "        try:\n",
    "            breaks = np.sort(np.random.choice(len(dates), 2)) \n",
    "            length = int(np.random.randint(6, np.diff(breaks) // 15))\n",
    "        except ValueError:\n",
    "            continue\n",
    "        break\n",
    "\n",
    "    col_amnt = np.random.normal(300, 100, size=length)\n",
    "    col_date = np.sort(np.random.choice(dates[breaks[0]:breaks[1]],\n",
    "                                        length, replace=False))\n",
    "    \n",
    "    customer_hist = pd.DataFrame({\n",
    "        'InvoiceDate': col_date, 'Amount': col_amnt,\n",
    "    })\n",
    "    customer_hist['CustomerID'] = idx\n",
    "    \n",
    "    return customer_hist\n",
    "\n",
    "\n",
    "end = pd.Timestamp(\"2022-12-31\").replace(hour=0, minute=0, second=0, microsecond=0)\n",
    "start = pd.Timestamp(\"2021-1-1\")\n",
    "dates = pd.date_range(start, end, freq='D', normalize=True)\n",
    "\n",
    "cstm = [f'id{i}' for i in range(1000)]  \n",
    "df = pd.concat(map(generate_data, cstm), axis=0, ignore_index=True)\n",
    "df['InvoiceDateDiff'] = df.groupby('CustomerID')['InvoiceDate'].diff().dt.days\n",
    "df = df.dropna()\n",
    "\n",
    "print(df.shape)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c4a966b1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:58:28.533314Z",
     "iopub.status.busy": "2022-11-01T20:58:28.532951Z",
     "iopub.status.idle": "2022-11-01T20:58:29.159942Z",
     "shell.execute_reply": "2022-11-01T20:58:29.158966Z"
    },
    "papermill": {
     "duration": 0.634096,
     "end_time": "2022-11-01T20:58:29.162399",
     "exception": false,
     "start_time": "2022-11-01T20:58:28.528303",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### PLOT ORDER FREQUENCY ###\n",
    "\n",
    "monthlychurns = df.groupby('CustomerID')['InvoiceDate'].max() \\\n",
    "    .apply(lambda x: x.replace(day=1)).value_counts().sort_index()\n",
    "\n",
    "true = monthlychurns.cumsum().to_dict()\n",
    "eval_dates = pd.date_range(start=monthlychurns.index[0], end=end, freq='MS')\n",
    "\n",
    "plt.figure(figsize=(16,5))\n",
    "plt.subplot(1,2,1)\n",
    "monthlychurns.plot(\n",
    "    color='green', marker='o', ax=plt.gca()\n",
    ")\n",
    "plt.ylabel('absolute # order')\n",
    "plt.twinx()\n",
    "(monthlychurns.cumsum() / monthlychurns.sum()).plot(\n",
    "    color='lime', ax=plt.gca()\n",
    ")\n",
    "plt.ylabel('relative # order')\n",
    "plt.subplot(1,2,2)\n",
    "df.groupby('CustomerID')['InvoiceDate'].count().plot(\n",
    "    kind='hist', color='green', bins=20, ax=plt.gca()\n",
    ")\n",
    "plt.xlabel('number of orders'); plt.ylabel('frequency')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9ee1e89c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:58:29.172741Z",
     "iopub.status.busy": "2022-11-01T20:58:29.171880Z",
     "iopub.status.idle": "2022-11-01T20:58:29.537330Z",
     "shell.execute_reply": "2022-11-01T20:58:29.536100Z"
    },
    "papermill": {
     "duration": 0.37318,
     "end_time": "2022-11-01T20:58:29.539865",
     "exception": false,
     "start_time": "2022-11-01T20:58:29.166685",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### PLOT NUMBER OF ORDERS vs MEAN/STD OF ORDER FREQUENCY ###\n",
    "\n",
    "plt.figure(figsize=(16,5))\n",
    "plt.subplot(1,2,1)\n",
    "df.groupby('CustomerID')['InvoiceDateDiff'].agg(['mean','count']).plot.scatter(\n",
    "    x='count', y='mean', color='green', ax=plt.gca()\n",
    ")\n",
    "plt.xlabel('number of orders'); plt.ylabel('mean order frequency')\n",
    "plt.subplot(1,2,2)\n",
    "df.groupby('CustomerID')['InvoiceDateDiff'].agg(['std','count']).plot.scatter(\n",
    "    x='count', y='std', color='green', ax=plt.gca()\n",
    ")\n",
    "plt.xlabel('number of orders'); plt.ylabel('std order frequency')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8ea7cf7b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:58:29.551417Z",
     "iopub.status.busy": "2022-11-01T20:58:29.551003Z",
     "iopub.status.idle": "2022-11-01T20:58:29.563300Z",
     "shell.execute_reply": "2022-11-01T20:58:29.562493Z"
    },
    "papermill": {
     "duration": 0.020555,
     "end_time": "2022-11-01T20:58:29.565384",
     "exception": false,
     "start_time": "2022-11-01T20:58:29.544829",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "### UTILITY FUNCTIONS TO PREDICT CHURN ###\n",
    "\n",
    "def get_wtd_mean(vals, scores):\n",
    "\n",
    "    num_order = np.floor(np.log10(scores.size)).astype(int)\n",
    "    N = num_order - 1 if num_order else num_order\n",
    "\n",
    "    inv_rng = 1 / (float('1e' + str(N)) + scores)\n",
    "    inv_sum = np.sum(inv_rng)\n",
    "    weights = inv_rng / inv_sum\n",
    "        \n",
    "    return np.average(vals, weights=weights)\n",
    "\n",
    "\n",
    "def generate_norm(grp):\n",
    "    \n",
    "    low = grp['InvoiceDateDiff'].min()\n",
    "    upp = grp['InvoiceDateDiff'].max()\n",
    "    \n",
    "    if 'Amount' in grp:\n",
    "        scores = np.abs(grp['Amount'].values)\n",
    "        mean = get_wtd_mean(grp['InvoiceDateDiff'], scores)\n",
    "    else:\n",
    "        mean = grp['InvoiceDateDiff'].mean()\n",
    "    std = grp['InvoiceDateDiff'].std()\n",
    "\n",
    "    trunc_norm = stats.truncnorm(\n",
    "        (low - mean) / std,\n",
    "        (upp - mean) / std,\n",
    "        loc=mean, scale=std\n",
    "    )\n",
    "\n",
    "    return trunc_norm\n",
    "\n",
    "\n",
    "def predict_by_cdf(\n",
    "        grp, check_date,\n",
    "        thr = 0.5, min_purch = 5,\n",
    "    ):\n",
    "    \n",
    "    if len(grp) < min_purch:\n",
    "        return np.nan\n",
    "    else:\n",
    "        nrd = generate_norm(grp)\n",
    "        val = (check_date - grp['InvoiceDate'].max()).days\n",
    "        return 1 if nrd.cdf(val) > thr else 0\n",
    "\n",
    "\n",
    "def predict_by_sigma(\n",
    "        grp, check_date,\n",
    "        k = 3, min_purch = 5\n",
    "    ):\n",
    "    \n",
    "    if len(grp) < min_purch:\n",
    "        return np.nan\n",
    "    else:  \n",
    "        mnv = grp['InvoiceDateDiff'].mean()\n",
    "        sdv = grp['InvoiceDateDiff'].std()\n",
    "        val = (check_date - grp['InvoiceDate'].max()).days\n",
    "        return 1 if val > mnv + (sdv * k) else 0  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d2fb2dfc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:58:29.577386Z",
     "iopub.status.busy": "2022-11-01T20:58:29.576445Z",
     "iopub.status.idle": "2022-11-01T20:59:19.361283Z",
     "shell.execute_reply": "2022-11-01T20:59:19.360528Z"
    },
    "papermill": {
     "duration": 49.794574,
     "end_time": "2022-11-01T20:59:19.364962",
     "exception": false,
     "start_time": "2022-11-01T20:58:29.570388",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 21/21 [00:49<00:00,  2.37s/it]\n"
     ]
    }
   ],
   "source": [
    "### PREDICT CHURN OVER TIME ###\n",
    "\n",
    "acc = {\n",
    "    'pred_sigma': {},\n",
    "    'pred_cdf_90': {},\n",
    "    'pred_cdf_50': {},\n",
    "}\n",
    "\n",
    "prec = {\n",
    "    'pred_sigma': {},\n",
    "    'pred_cdf_90': {},\n",
    "    'pred_cdf_50': {},\n",
    "}\n",
    "\n",
    "rec = {\n",
    "    'pred_sigma': {},\n",
    "    'pred_cdf_90': {},\n",
    "    'pred_cdf_50': {},\n",
    "}\n",
    "\n",
    "for train_end in tqdm(eval_dates):\n",
    "    \n",
    "    df_train = df[(df['InvoiceDate'] < train_end)].copy()\n",
    "    df_test = df[(df['InvoiceDate'] >= train_end)].copy()\n",
    "\n",
    "    train_users = df_train['CustomerID'].unique()\n",
    "    test_users = df_test['CustomerID'].unique()\n",
    "\n",
    "    y = pd.Series(np.ones_like(train_users), index=train_users, dtype=int)\n",
    "    y[y.index.isin(test_users)] = 0\n",
    "    \n",
    "    data_grouper = df_train.groupby('CustomerID', sort=False)\n",
    "    \n",
    "    df_pred = pd.DataFrame({\n",
    "        'pred_sigma': data_grouper.apply(predict_by_sigma, \n",
    "                                         check_date=train_end),\n",
    "        'pred_cdf_90': data_grouper.apply(predict_by_cdf, thr=0.9, \n",
    "                                           check_date=train_end),\n",
    "        'pred_cdf_50': data_grouper.apply(predict_by_cdf, thr=0.5, \n",
    "                                           check_date=train_end),\n",
    "        'true': y\n",
    "    }).dropna()\n",
    "    \n",
    "    if not df_pred.empty and (df_pred['true'] > 0).any():\n",
    "        \n",
    "        cm = confusion_matrix(df_pred['true'], df_pred['pred_sigma'])\n",
    "        acc['pred_sigma'][train_end] = cm[1,1] / true[train_end]\n",
    "        prec['pred_sigma'][train_end] = cm[1,1] / (cm[0,1]+cm[1,1]) \\\n",
    "            if (cm[0,1]+cm[1,1]) > 0 else np.nan\n",
    "        rec['pred_sigma'][train_end] = cm[1,1] / (cm[1,0]+cm[1,1]) \\\n",
    "            if (cm[1,0]+cm[1,1]) > 0 else np.nan\n",
    "        cm = confusion_matrix(df_pred['true'], df_pred['pred_cdf_90'])\n",
    "        acc['pred_cdf_90'][train_end] = cm[1,1] / true[train_end]\n",
    "        prec['pred_cdf_90'][train_end] = cm[1,1] / (cm[0,1]+cm[1,1]) \\\n",
    "            if (cm[0,1]+cm[1,1]) > 0 else np.nan\n",
    "        rec['pred_cdf_90'][train_end] = cm[1,1] / (cm[1,0]+cm[1,1]) \\\n",
    "            if (cm[1,0]+cm[1,1]) > 0 else np.nan\n",
    "        cm = confusion_matrix(df_pred['true'], df_pred['pred_cdf_50'])\n",
    "        acc['pred_cdf_50'][train_end] = cm[1,1] / true[train_end]\n",
    "        prec['pred_cdf_50'][train_end] = cm[1,1] / (cm[0,1]+cm[1,1]) \\\n",
    "            if (cm[0,1]+cm[1,1]) > 0 else np.nan\n",
    "        rec['pred_cdf_50'][train_end] = cm[1,1] / (cm[1,0]+cm[1,1]) \\\n",
    "            if (cm[1,0]+cm[1,1]) > 0 else np.nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a459b4ba",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:59:19.381364Z",
     "iopub.status.busy": "2022-11-01T20:59:19.380021Z",
     "iopub.status.idle": "2022-11-01T20:59:19.777077Z",
     "shell.execute_reply": "2022-11-01T20:59:19.775968Z"
    },
    "papermill": {
     "duration": 0.40745,
     "end_time": "2022-11-01T20:59:19.779576",
     "exception": false,
     "start_time": "2022-11-01T20:59:19.372126",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### RECALL PLOTS ###\n",
    "\n",
    "plt.figure(figsize=(16,5))\n",
    "_ = plt.subplot(1,2,1)\n",
    "pd.DataFrame(rec).plot(ax=plt.gca(), color=['blue','magenta','orange'])\n",
    "plt.ylim([-0.03,1.03]); plt.ylabel('recall')\n",
    "ax = plt.subplot(1,2,2)\n",
    "_,props = pd.DataFrame(rec).plot.box(patch_artist=True, color='green', return_type='both', ax=ax)\n",
    "for patch,color in zip(props['boxes'],['blue','magenta','orange']):\n",
    "    patch.set_facecolor(color)\n",
    "plt.ylim([-0.03,1.03]); plt.ylabel('recall')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9a166dd6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:59:19.795527Z",
     "iopub.status.busy": "2022-11-01T20:59:19.795122Z",
     "iopub.status.idle": "2022-11-01T20:59:20.197573Z",
     "shell.execute_reply": "2022-11-01T20:59:20.196511Z"
    },
    "papermill": {
     "duration": 0.413358,
     "end_time": "2022-11-01T20:59:20.200087",
     "exception": false,
     "start_time": "2022-11-01T20:59:19.786729",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### PRECISION PLOTS ###\n",
    "\n",
    "plt.figure(figsize=(16,5))\n",
    "_ = plt.subplot(1,2,1)\n",
    "pd.DataFrame(prec).plot(ax=plt.gca(), color=['blue','magenta','orange'])\n",
    "plt.ylim([-0.03,1.03]); plt.ylabel('precision')\n",
    "ax = plt.subplot(1,2,2)\n",
    "_,props = pd.DataFrame(prec).plot.box(patch_artist=True, color='green', return_type='both', ax=ax)\n",
    "for patch,color in zip(props['boxes'],['blue','magenta','orange']):\n",
    "    patch.set_facecolor(color)\n",
    "plt.ylim([-0.03,1.03]); plt.ylabel('precision')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0e49cdb2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-11-01T20:59:20.217130Z",
     "iopub.status.busy": "2022-11-01T20:59:20.216329Z",
     "iopub.status.idle": "2022-11-01T20:59:20.612067Z",
     "shell.execute_reply": "2022-11-01T20:59:20.610797Z"
    },
    "papermill": {
     "duration": 0.407088,
     "end_time": "2022-11-01T20:59:20.614696",
     "exception": false,
     "start_time": "2022-11-01T20:59:20.207608",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Arl278uSTTzJw4EAWL15cbHgdPHgwXbt25amnnsJaN4h806ZNNG7cGICyZctSrVo10tLSAvHjEhE5cYd3w5InfF2Fn4D658GFi+GsDxReRUREolD0tcAep6U0mBo3bkzPnj0BuO6663j55ZcBGDhwIADz589n2bJlR/Y5fPgwPXr0YMWKFTRv3pxWrVodee24ceOOeZ6kpCQmT5585HGNGjX4+OOP6d27N3Xq1DlyzlWrVvld+3vvvUfDhg3Zt28fV1xxBe+++y433HBDCb57EZEQOrzHtbaueNG1uDa6zE3OVKOr15WJiIhIEEVfgPVQ4W61uY8rVaoEgLWWfv36MWnSpAL7LV68OCT1Fadhw4YAVKlShWuuuYYffviBG264gYYNG7JhwwYaNWpEVlYWe/bsoVatWh5XKyIx6/AeN6Pwihchc7eCq4iISIxRF+IAWr9+Pd9//z0A77///lFjWc844wzmzZvH6tWrAThw4ACrVq2ibdu2pKSksGbNGoCjAm5h/fr1Y8yYMUce79q1i+7duzN79mzS0tLIzMxk6tSpftedlZXFjh07AMjMzOTTTz+lY8eOAFxyySW8/fbbAEybNo1zzz1X419FJLQy98K2uXmzCi8ZDvV6Q/9FcPaHCq8iIiIxRAE2gNq0acOYMWNo164du3bt4o477ijwfJ06dZg4cSKDBg2ic+fOR7oPJyQkMG7cOC666CJOPfVU6tatW+x5Hn30UXbt2kXHjh3p0qULM2fOpEGDBowYMYIePXrQs2dP2rVr53fdGRkZXHDBBXTu3JmuXbvSsGFDbrvtNgBuueUW0tLSaNmyJaNGjeLZZ58t+Q9GRMQf1sLBjbDpU1j6NMy5Eqa3hKnVIOksWPpkvuD6EdQ8xeuKRUREJMRM7mQ9kSIxMdEmJycX2LZ8+fISBbZgSElJYcCAASxdutTTOrwSDv8GIhJBcjJh70o3a3zubfdiyMidJM5AlZaudbVGV6je1QXWCg0CXooxZqG1NvH4e8qxFHVtFhER/5knDHZ4ZOWyYCru2qwxsCIiElyZe2HXL3khdddi2L0UcjLc83EJUK0TNLo8X2DtBPFVPCtZREREwpMCbIA0a9Ys4K2vEyZMYPTo0QW29ezZs8D415Lq3r07GRkZBba9++67dOrUqdTHFBE5Ivsw7JgH2+fltazuX5P3fPnaUOMUaHNPXlit0hrK6HIkIiIixxc1fzFYa6NucqHBgwczePDggB5zwYIFAT0eQKR1QxeRANu3GjZ/CVu+gm0zIeuA216lFdQ8FVrc7LoA1+jqugCHy+/q3cB9HtcgIiIiJRIVATYhIYG0tDRq1aoVdSE23FlrSUtLIyEhwetSRCRUMvfB1m9cYN3yFexf67ZXbgHNb4QGF7jJluKrelpmsb4EbgVSvS5ERKKBeSLwf39qPKRI0YIaYI0x/YHRQBzwprX22ULPNwHeBqr79nnEWvt5Sc/TqFEjNm7cyPbt20+8aCmxhIQEGjVq5HUZIhIsNsd1Bd7ia2Xd/h3YLChbCeqdC20fcKG1SkuvKz2+fcBfgDeA9sDHQDcvCwq9UF2bRWKJv2FTE/WInLigBVhjTBwwBugHbAR+NMZMt9Yuy7fbo8B/rLWvGWPaA58DzUp6rvj4eJo3bx6AqkVEBIBDWyH1f75W1v9Bhu8DwhqnQLu/usBa+0yIK+dtnSXxDXAzsAF4GBgBxFjnkVBem0VERIIhmC2wpwOrrbVrAYwxk4FLgfwXSQvk9jGrBmwOYj0iInIs2Ydhx3e+wPqla3EFKF8HGpzvAmv986FCPU/LLJUDuMA6BmgNzAV6eFqRl3RtFhGRiBbMANsQ9zl3ro1A90L7jAD+Z4y5G6gE9C3qQMaYIcAQgCZNmgS8UBGRmHRoC2z8GDZ/AVtnQtZ+MGWhzpnQ5R8utNboCqaM15WW3lzgJmAtbsKmkUBFD+vxnq7NIiIS0byexGkQMNFa+y9jTA/gXWNMR2ttTv6drLXjgHHgFkv3oE4RkeiwPwU2fAgbPoAd3wMWKjWH5tf7Jl/qE96TL/nrEK4j7Iu4zq+zgLM9rCey6NosIiJhK5gBdhPQON/jRr5t+d0C9Aew1n5vjEkAagPbgliXiEhs2bPCBdYNH8KuRW5bja7Q6QlocgVUbRc+S9sEwgLgRmAlcAfwT6CypxWFE12bRUQkogUzwP4ItDLGNMddHK8Grim0z3rgPGCiMaYdbjoNTSUsInIirHVjWHNbWvcud9tr94BTnodGl0GVFp6WGBQZuM6v/8R1lJ3BMTq/xjRdm0VEJKIFLcBaa7OMMUOBr3DT8L9lrf3VGPMkkGytnY5vMQNjzP24SSNustaqG5KISEnZHNgx3xdaP4QDv7uxq3XPgdZ3QaM/QsWGXlcZPItwra5LcTMNj8JNPyQF6NosIiKRLqhjYH3rxn1eaNvj+e4vA3oGswYRkaiVkwXbvnWtrBs/cpMylYmH+v2g4zBoeCkk1Pa6yuDKxE3MNBKoC3wG/MHTisKers0iIhLJvJ7ESUQktGwOpG+HQxvh4CZIT4WKTaDW6VC+ptfVHV92BqQmudC6aTpkpEFcRTjpQmh8OZx0EZSLkabHJbhW15+A64CXgRqeViQiIiJBpgArItEj6xAc2uSC6bG+pm+BnMyiX1+5JdTu7sJsre5uoqO48iH9FgqwFtK3wu4lsGcp7FgAmz+HrH0QXw0aXuxCa4MLoGwMrQ2TBTwPDMcF1o+AP3pZkIiIiISKAqyIRAabA7uXwsENvjC68eiAenjX0a8rWwkqNHTjP+ueDRUb5T2u0BAq1IP9a104TPvBrYea8p57bZl4qN7VBdrcYFulVXDWRc3cC7t/hT1L3Pe5e4m7n5GWt0+FBtB0IDS+AuqdC3HlAl9HuFuOW9f1B+AqYCxuflwREZEQavav+qzbvzWgxzRPBHZFgKaV65Hyl9SAHjMcKMCKSHjLOgC/vwMrR8PelfmeMJBQzwXRyidD3bMKBtPcr/FVj79ETKWmbv3TXAc3QZov0O5YAL+/Db+Ncc/FV4da3VwLba3T3a1CPf+/n+zDsHdFXqtq7tcD6/L2KVsZqnV0swVX7+TuV+8ECXX8P080OQysAabjWl0rA1OAP3lZlIiIxLJ1+7diW3ldRfHMb4EN2OFCAVZEwtPBTbBqDKx+3bWs1kyE7uOhWntfy2l910IaDBUbQsXLXfdcgJxstxRN2g95wXbZM2Cz3fOVmhYMtDVPg7gE2P97XkjdvdS1qO5dBTbLva5MPFRtC7XPhJa35wXVSk2C08ob7nYBK4q4rQF8P2ouBV4H6ntRoIiIiHhNAVZEwsvOhbDiRVg3Bchxy7+0uR/q9Dx+S2qwlImD6h3drcXNblvWQdi5qGCoXf8f95yJgzLlIftg3jEqn5zXqpobVKu0ir1uwDnAOooOqtvy7VcOaAV0wnUVbgd0ALoAHr0NRERExHsKsCLivZxs2PQJrBgF2+dA2SrQeii0uQcqN/e6uqKVrQh1e7lbrkNbYeePrttx1n4XeKt1cq3G8ZW9q9ULB4FVFAyoy33b0vPtVxMXTi8G2ua7NUNXKBERETmK/jwQEe9k7oO1E9z41v1rXVfcU/4FLW6JzKVgKtSDhgPcLdbsAWYD3/huS/I9VwZojgum/SgYVDUBk4iIiJSAAqyIhN6BdbDyFVjzJmTucWNAuz7nuguX0a+liHAQ+A74GhdYk3HdgxOAXsAVQHtc62pL33YRERGRE6S/FEUkdLZ/DytfhA0fusdNrnLjW2uf7m1dcnyZuKVrvsGF1u9xswOXBboDjwLnAmcAHi6dKyIiItFNAVZEgisnywXWFS9C2nyIrwZtH3BjXCs18bo6OZYc4GfyWli/BQ7gJlA6BbgHF1jPwi1rIyIiIhICCrAiEhyHd7suwitfgYProXJLOO0VOPmm2JvQKBJYYCV5LayzgJ2+59oCN+EC6zlArdCXJyIiIgIKsCISaHuWwW+vwdqJbibeuudA4stw0gC3HI2Ej93AdGAGLrhu9m1vgltv9TygD3CSF8WJiIiIHE0BVkROXPZh2PiRC67bZkOZctBkILS9H2qe4nV1kt9eXGj9D/AVbhxrXVzr6rm40NocrbUqIiIiYUkBVkRK78B6WD3OdRVO3wqVmrvZhE8eDAl1vK5Ocu0DPsWF1i+ADKARMBQYCHRDgVVEREQiggKsiJSMzYEt/3OtrZs/BWvduqet7oAGF4Ap43WFAm7Cpc9wofUzIB3XFfjPuNDaHbc+q4iIiEgEUYAVEf+k74C1E2D1v2H/GkioC+0fgZZDoFJTr6sTcGuzfoELrZ/6HtcHbsWF1jNRaBUREZGIpgArIsdmLeyY71pb1/8HcjKgzlnQ+WlofDnElfO6QkkHvsSF1um4ltc6wI240NoL0NxZIiIiEiUUYEUiQU427PkVDqRAhQZQsbFrAQ1Wd93M/bDufRdcdy2GslWgxS2um3D1jsE5p1f24UJgJaACkTEWNAP4Hy60/hf3PdQCrsWF1rPRb3c/rVzpdQUiIiJSEvoTRyQcHdwEaQtgxwL3dWcyZB0ouE+ZeKjQCCo2coG2UmP39citEZSvDaYEiSx3CZzf34HMvVC9M3R7DZpdC/FVAvs9em0j8CzwBm4mXnDhtaLvVqmYmz/Pl893Lhug+zuAj4CPgT1ADeBPuNDaG4gv/luWPL//Dk88Ae++63UlIiIiUhIKsCJeyzoAackuqOaG1kOb3HNl4qF6Vzj5ZqjVHaq0gvRUOLjB3Q74vu74HjZMhZzMgseOS3Aht1K+UJs/5FZqDHGVilgC5ypodSfU7lGyABwJNuGC6zggBxgMdMZ1vS3qdtD3dVMRzxX6cYdENeAyXHDti0JrCW3cCCNHwptvQtmycN99MGqU11VJpDBPBP73oR1uj7+TeKbZs81Yl7EuoMcM5PuoafmmpDySErDjiUQCBViRUMrJhr3LC7au7lnqZvYFqHwy1D3bhdXa3aFGVxdC/WFzIH1bXrg9uLFgyN06Ew5tBptd8HUmzm2r1By6PuvCcjQugVNUcP070OwEjplJXsAtfDtMwe7IgbifAJxOwdZd8cu2bfDsszB2LOTkwJAh8Pe/Q8OGCrDiP3/DpnnCKJhGiXUZ67Ajwvff0oyIsg+ZI4z5zesKYpMCrEgwHUotGFbTfoSsfe65+OpQ63RodKkLrLVOP7HgaMpAhfruVqtb0fvkZB/dgpu+Feqe45bAKROFs/1sJi+4ZhOY4JorHtciWi0Ax5Kg2LkTXngBRo+G9HS48UZ4/HFo1szrykREJNLZVl5XULxoDdgKsCKBlpEGS0bAxulwcL3bZsq68aTNr89rXa3SKvRrppaJg4oN3Y0zQnvuUNsMPAf8Gxdcb8IF1+Ye1iQhs3evC60vvAD79sHVV8OIEdC6tdeViYiIyIlQgBUJFJsDa9+GxQ/B4V3Q6I/Q5l5fV+BToWwFryuMDfmDaxZ5wfVkD2uSkDl4EMaMgeeeg7Q0+OMf4cknoVMnrysTERGRQFCAFQmEXb9A8p2wfR7U6elm7q2uv5hDagt5wTUTBdcYk5EBb7zhJmhKTYX+/eGppyAx0evKREREJJAUYEVOROY+11145WgoVwPOmADNbwh91+BYtgX4J/A6LrjeCAxDwTVGZGbC22+7VtYNG+Ccc2DqVOjVy+vKREREJBgUYEVKw1rYMA0W3geHtkDL26DLM1C+pteVxY7CwfUGXHBt4WVREirZ2TB5shvXuno1dO8Ob70F550XfSs/iYiISB4FWJGS2vsbJA+F1P9BjVPgrA+gdpRPiBROUnHB9TVccL0eeBQF1xiRkwMffeRmEl62DLp0gU8+gYsuUnAVERGJBQqwIv7KOgTLnnW3uAQ47WVodQeU0X+jkFgHvIwLrodxwXUY0NLLoiRUcnLgiy/gscfgp5+gbVv4z3/giiugjHrsi4iIxAz95S3ij02fw8K7Yf9aaHoNnPoCVGjgdVXRLxOYDrwB/A8w5LW4KrjGhO3bYeJEGDfOdRU++WR45x245hqIi8Jli0VERKR4CrAixTmw3o1z3fgRVG0D534N9c/1uqrotxp4E5gAbAMaAY8BNwNNPaxLQsJamDUL/v1v+PBDN1HTWWfB8OEwcCDEx3tdoYiIiHhFAVakKDmZsOJFWPIEYKHLP6DtXyCunNeVRa904CNca+tMIA4YANwG9Pc9lqi2Y0dea+tvv0GNGnDnnTBkCLRv73V1IiIiEg4UYEUK2/Yt/HgH7FkGDS+B00ZD5WZeVxW9luFC6zvATqA5MBK3jutJ3pUloWEtzJ6d19p6+LBbAuexx+DKK6FCBa8rFBERkXCiACuRwVrY8CFs/QbK14aEupBQL9/XehBf7cSmIT20FRY/BL+/A5WawdnTodHFAfsWJJ+DwFRccJ0HxAN/xLW2ngdoUp6ot2OHW7913DhYtQqqV4c//9m1tnbo4HV1IiIiEq4UYCX8pSbB4r/BzmQoWwmyDgL26P3KlMsLtOXrQoV6efcT6rnHuffL14Yyvj6pOdmwZhws/jtkH4AOw6DD36FsxZB+mzFhMS60vgfsAVoDz+PWcK3rXVkSGtbCt9+60Dptmmtt7dkThg2Dq65Sa6uIiIgcnwKshK+0H11w3fo1VGwCZ0yEZtcBFjJ2QPo2SN/qu/nuZ2xzLanpW2HPEvc1J7OIgxtfS249yMmAfb9BvXMhcQxUaxvibzTK7QMm4YJrMlAeuArX2noWbmZhiWppaW7m4HHjYMUKqFYNbr/dtbZ27Oh1dSIiIhJJFGAl/OxZAb88Chs+cCHz1Jeg1Z8hrnzePhXqu9vxWAuZe44OuvnvZ+6FTk9A06tPrAuy5LHAj7jQOgk4AHQERgPXATW9K01Cw1qYO9eNbZ02DTIyoEcPN0nTVVdBRXVwEBERkVJQgJXwcWADLH0C1k6AuIrQaQS0fQDiq5T+mMZAueruVrVNgAoVLJAGrAfW+b7mv78Ot/xNReBqXGtrd9TaGuU2b4YffnC3jz+G5ctda+ttt7nW1k6dvK5QREREIp0CrHgvIw1+fQZWvQpYaH2PG4OaUMfrymJXJrCRooNp7raDhV5TAbdGaxOgK5CIC69VQ1KxhNiePZCcnBdYf/jBBViAsmWhe3eYMAH+9Ce1toqIiEjgKMCKdzL3w8qXYPnzkLUfmt/gWl0rNfW6suiWAaQCW4DNvq/rKRhWN3P0PFl1cQG1A3AheWE192st1MIapTIy4OefXUj98Uf3dcWKvOdbtYI+feD0092ta1dISPCsXBEREYliCrASetmHYfU4+PUpNw610R+h89NQXWtnnJCDuDCa/7a5iMc7i3htPC6ENgH65bufG04b41pYJerl5MDKlQXD6uLFkOmbC61ePde6et11LqwmJkKNGp6WLCIiIjEkqAHWGNMfN21LHPCmtfbZIvb5EzAC197zs7X2mmDWJB7KyYZ1k+CXx+HA71D3HDj7v1D7DK8riwy7ga+ATRQdUPcU8Zp4oD7QAGiJm/W3Qb7bSb6vddHaqzEiMxPS0/NuBw/CsmV53YCTk2HvXrdv5couoN5/f17raqNGmuss0unaLFIyZoR+6YmEk6AFWGNMHDAG156zEfjRGDPdWrss3z6tgL8BPa21u4wxWgkyGlkLmz+Dn/8Ou5dAjVOg25fQ4Hz9JeyPLGAcMBzY4duWQF4I7YD7X9aAo8NpTRRMI9yBA7B6Nfz2G/z+u3ucP4AeOlSy+9nZRZ+nbFno0gWuvdYF1W7doG1biIsL7fcrwaVrs0jJ2RFFrD0fJhSuJRYFswX2dGC1tXYtgDFmMnApsCzfPrcBY6y1uwCstduCWI94Ydtc+PkR2D4PKreEnpOhyVVglKr88iXwF9z/mt7A00B7oDoabxpFMjMhJQVWrTr6tnHj0fuXK+fGmCYkQIUKR9+vVevYzxW+n5AALVtq3GoM0bVZREQiWjADbENgQ77HG3ELaeTXGsAYMw/XlWmEtfbLINYkobLrZ/h5mGt5rdAAur0OLW6GMvFeVxYZluGC65dAC+Aj3J+YCq0Ry1rYtMmF0t9+KxhS166FrKy8fatXhzZt3MRIrVvn3Zo3d9161SoqJ0DXZhERiWheT+JUFmiFa1tqBHxrjOlkrd2dfydjzBBgCECTJk1CXKL4zVrYPgeWPQebP4f46tD1WWh9N5TVOhp+2YHrKvxvoDLwL2AoUM7LoqSkVq+G774rGFJ/+82NN81VoYKbvbdzZ7jyyryQ2qqVa0FV73rxkK7NIiIStoIZYDfh5i7N1ci3Lb+NwAJrbSbwuzFmFe6i+WP+nay143CjAElMTAzfgQixyubApk9ccN3xPZSvA52fgtZ3QTlNT+qXw8CrwJPAfuDPuOlTantYk5TIpk0wZQpMmuQmQgLXUnryyS6YFm5NbdgQyqgnvYSers2F1H+2GVsz1gX8uOaJwH0KVa98U1IfSQnY8UREIlkwA+yPQCtjTHPcxfFqoPAshh8Dg4AJxpjauG5La4NYkwRS9mFY9z4s+yfsXQ6VmkHiq3DyYLW4+ssC/wUeBFYD/XGtru29LEr8tWMHTJsGkyfDt9+6TginngrPPw8XXeTGlsar17yEF12bC9masQ7CeJIegK2aqEdE5IigBVhrbZYxZihu4Y844C1r7a/GmCeBZGvtdN9z5xtjlgHZwIPW2rRg1SQBkrkf1rwBK0bBwY1QvTOc+b6bnKmM173SI8hi4H5gFi6wfoELsBLW9u2Djz92La0zZrixq23bwogRcPXVrnVVJFzp2iwiEhhNK9fD/LbV6zKK1bRyPa9LCIqgpg1r7efA54W2PZ7vvgUe8N0k3KVvh1WvwKpX4fAut47r6eOgQX8N2CuJLcCjwATcMjdjcKPIlP3DVno6fPaZC62ffeYeN2kCDzwAgwa55Wf0X0Aiha7NIiInLuUvqQE9nnnCYIeHd2+QcKE/meX49qfAin/BmvGQfQga/RHaPwy1z/C6sshyCBgFPIMb8/oALshW97AmOabMTPj6axdaP/rItbzWrQu33upaWnv00BhWERERkVDzK8AaYz4ExgNfWGtzgluShI1dv8Dyf8K6yW7d1mbXQbsHoVo7ryuLLBaYDDwCrAcuA/4JtPSyKClKTg7Mm+dC69SpboxrtWpuluBBg9xETGX1sZ+ECV2bRUQkFvn7p9hYYDDwsjFmKjDBWrsyeGWJZwovhVO2ErS5F9reDxUbeV1d5JmPG+c6HzgFeBu3MIWEDWth0SIXWqdMgY0b3RI3l1ziWlovvBDKl/e6SpEi6dosIiIxx68Aa61NApKMMdVwMxMmGWM2AG8A/+ebal8i2VFL4dR2S+G0uhPK1/S6ushigRXA08D7QH3gLeAG3JQp4jlr4eefXSvr1Klujdb4eLjgAnjuORdeK1f2ukqR4unaLCIiscjvznDGmFrAdcD1wE/Ae0Av4EbUphS5rIWU/4Nfnwn/pXAygWVAM6Cat6UcYYF1QHK+20JgN5AADAMeBqp4VJ8cYS389JMLrNOmwerVbp3W3r3hwQfhiiugpj6rkQija7OIiMQaf8fAfgS0Ad4FLrbWbvE9NcUYkxys4iQENk2H72/wLYXzHjT5U3guhXMIuACY43vcAGgHtM33tS3QEAjWbLAWt2picqFb7uIS8UBnYCCQiFsSR72uPWUtLFyYF1rXrnWh9dxz4aGH4I9/hDp1vK5SpHR0bRYRkVjkb1J52Vo7s6gnrLWJAaxHQu2316FCQ+i/MDyDK7iW16uAubgZfA2ui+5y4P+Avfn2rUxemM0fcFsA5Up43lSODqu5y33FAR2BP+LCaiLQCdBYSc9ZCz/+mBdaU1LcxEvnnQd//7sLrbVqeV2lSEDo2iwiIjHH38TS3hjzk7V2N4AxpgYwyFo7NmiVSfAdWAdbvoKOj4VveM3BTVHyGfAa8OdCz1tcqFxOXqhdAczChdtccbgQm7+1Nvd+NWA7rutv/rC6yffaMr59+5MXVrsAFQL1TcqJshYWLMgLrevXu9Darx88/jhceqm6B0tU0rVZRERijr+p5TZr7ZjcB9baXcaY23AzIEqkWjPefW1xs7d1HIsF7sON6BrJ0eEVXGtsfd+tT6Hn9gGrODrcfo5r1c1VHTdmNVcb3Mix3LDaFdeyK2ElJwfmz3eh9YMPYMMGNxHT+efDk0+6iZhq1PC6SpGg0rVZRERijr8BNs4YY6y1FsAYE0fJO2RKOMnJgjVvQYP+UKmp19UU7UngFeAB4G+leH0V4DTfLb8sYC15oTYF1zqbCJwKVC1duRJ8OTnw3Xd5oXXTJihXzs0e/PTTLrRWr+51lSIho2uziIjEHH8D7Je4SSH+7Xt8u2+bRKrNX8ChTZD4iteVFO0VYARwE/ACgZ2YqSzQ2ne7JIDHlaA4eBC+/ho++ww++QQ2b3brsvbvD88+CxdfDNXCZVZqkdDStVlERGKOvwH2YdyF8Q7f4xnAm0GpSEJjzRuQUB8aDvC6kqO9B9yDmyDpDYI3q7CErXXrXGD99FOYORPS0926rOef75a7GTAAqqqlXETXZhERiTl+BVhrbQ5uCp3XgluOhMTBjbD5M2j3MJSJ97qagj7DrV7YB5hECVYqlkiWleXGs376qQuuS5e67S1awO23w0UXwdlnu5ZXEXF0bRYRkVjk7zqwrXALmLQHEnK3W2tPDlJdEkxrJoDNgZa3el1JQXOAK3GTJn1MvneaRKOdO+HLL11g/eIL2LXLzRx81lnwwguulbV1azBqgRcpkq7NIiISi/xt35oADAdexLWNDcYtLiKRJicb1rwJ9ftC5TD6G2cxMABoCnyBJlKKQtbCr7/mdQ3+7js3KVPt2m4c64ABrouwxrOK+E3XZhERiTn+BtgK1tqvfbMdrgNGGGMWAo8HsTYJhtQZcHA9nPqC15Xk+Q24ALce6wygjrflSOCkp7sxrLldg9etc9u7doW//911De7WDeLiPC1TJFLp2iwiIjHH3wCbYYwpA/xmjBkKbEIrY0am1eOgfB1oeKnXlTibgH5ADi68Nva2HDlxmZlumZvJk93swQcPQoUK0LevC61/+AM0auR1lSJRQddmERGJOf4G2HuBiri5YZ/CdVW6MVhFSZAc2gKbPoG290NcGCwVmAacD+wEZgJtvC1HTsyBA/DWW/Cvf7mW1iZNYPBg18rau7cLsSISULo2i4hIzDlugPUtjD7QWvtXYD9ujI1EorUTwWZBizCYvGk/8AdgDW7VwtO8LUdKLy0NXn0VXnnF3T/zTHj5ZTemtYxG44kEha7NIiISq44bYK212caYXqEoRoLI5sDqN6Bub6ja2ttaMnBrvC4EPgB6e1mMlNa6dTBqFLz5pusmPGAAPPww9NJvC5Gg07VZRERilb9diH8yxkwHpgIHcjdaaz8MSlUSeFu/gQO/Q5enva0jG7gW+BqYCITJUFzx35Il8M9/wqRJbomba66BBx+Ejh29rkwk5ujaLCIiMcffAJuAG7F4br5tFtBFMlKsHgflakLjy72rwQK341pdX0QjtSKItTBnDjz3HHz+OVSqBHffDfff78a6iogndG0WEZGY41eAtdZqbE0kS98GGz+GVndBXMJxdw+aR4DxwKPAfd6VIf7LyYHp011wnT/frdn65JNw111Qs6bX1YnENl2bRUQkFvkVYI0xE3Cf6hZgrb054BVJ4K19G3IyoeVt3tXwT9/tTuBJ78oQ/2RkwHvvwfPPw4oV0KyZm6hp8GCoWNHr6kQEdG0WEZHY5G8X4k/z3U8ALgM2B74cCThrYc0bUKcnVGvvTQ1vAg8DVwOvAMabMuT49u6FcePgxRdh82bo0gXefx+uugrK+vvbQkRCRddmERGJOf52If4g/2NjzCRgblAqksDaNhv2/QYdHvXm/B/gxr32B94GtKxKWNq6FUaPhrFjYc8e6NPHrel6/vluoiYRCT+6NouISCwqbZtKK6BuIAuRIFn9BsRXgyZXhv7cScA1wBm4IFsu9CVIHmth507Xsrp5M2zZ4r6uXAlTpsDhw3D55W4pnG7dvK5WREpB12YREYl6/o6B3UfBcTapuE6hEs4y0mDDNGg5BMqGcOCiBebg1nptg+vkpnGTQZMbTHMDaf5wmv/+li0upBZWsybccAP89a/Q2uMlgkXEf7o2i4hILPK3C3GVYBciQfD7u5BzGFoEcfKm/cBS4Gfgl3y3vcDJwFdAjeCdPpasXQtTp8KmTQXD6ZYtbtKlwqpXh5NOcrezz86736BB3v369aFChZB/KyISALo2B9AIjZUQEYkU/rbAXgZ8Y63d43tcHehtrf04eKXJCbHWrf1aqzvU6Hzix8sBUnDhNH9YXUPe5/9Vgc7AdUAXXAusOrOdsN27YeRIePll14JarVpeAO3Vq+hg2qCBgqlItNO1OYBGHDWZc3hRwBYROcLfMbDDrbUf5T6w1u42xgwHPg5KVXLidnwHe5dD9/Elf+0+YAl5IfVn3+N9vucN0BLoCtyAC6udgaZohuEAysx0MwIPH+66CA8e7NZgbdjQ68pEJEzo2iwSZE3LN8WE8QcITcs39boEkZDzN8AWNXesFtUIZ6vHQdkq0HTg8ff9CvievLC6Nt9z1XDhNH9Q7QhUCnC9coS18PnnbkzqihVuRuBRo6BrV68rE5Ewo2uzSJClPJIS0OOZJwx2eJi3+IuEOX8vdMnGmFHAGN/ju4CFwSlJTtjhXbD+P9D8Jih7nKT5AXAlruW0FXAaMJi8sNoEtaqG0C+/wF/+AklJbkKl6dNhwAAtZSMiRdK1WUREYo6/AfZu4DFgCm7E4wzchVLC0e/vQXY6tPRj8qYXcZMt/YJaVT2UmgqPPebWXq1e3Y13/fOfIT7e68pEJIzp2iwiIjHH31mIDwCPBLkWCQRrYc04qHka1Dy1+H2TgXm4EKvw6olDh1z34GeecRM03XcfPPoo1NDMzSJyHLo2i4hILCpq/MxRjDEzfLMb5j6uYYz5KmhVSeml/QC7l/i3dM5ooApwc7CLksJycuC996BNGxdYL7gAli2Df/1L4VVE/KNrs4iIxCK/AixQ21q7O/eBtXYXWiAlPK15w417bTao+P224DqdDcYtfyMhM3cunHEGXHcd1K0Ls2fDBx9Ay5ZeVyYiEUbXZhERiTn+BtgcY0yT3AfGmGbkrf4p4SJzL6RMgqZXQ/xxUunrQBZuBJWExNq1cNVVcNZZsHkzvPMO/PADnH2215WJSITStVlERGKOv5M4DQPmGmNm4+akPQsYErSqpHRSJkH2QWhxnH+adFyAvQi3nqsE1e7dMHKkm5ipbFm3lutf/gIVK3pdmYhEOF2bRUQk5vg7idOXxphE3IXxJ9wi6YeCWJeUxupxUL0z1OpW/H6TgW3AvaEoKnZlZsK4cTB8OOzcCYMHw1NPwUkneV2ZiEQDXZtFRCQW+RVgjTG34uJOI2AxcAbwPXBu0CqTktm5EHYtgsRXi1801OImb+oAnBei2qKctbBvH2zblnfbtAlefRVWrIA+fdxMw127el2piEQTXZtFRCQW+duF+F6gGzDfWtvHGNMW+EfwypISW/0GxFWAZtcWv98c3J8543AdzqRI6emwfXvBUFr4cf5bRsbRx2jdGqZPhwEDiv9MQUSklHRtFhGRmONvgE231qYbYzDGlLfWrjDGtAlqZeK/zP2Q8j40+ROUq178vqOBmsBxcm60sxZSUmDOHFiwwE2qlD+Q7t1b9OvKl4d69dzswfXqQadO7n7urU6dvPsnnQRl/J0mTUSk5HRtFhGRmONvgN3oW2vuY2CGMWYXsO54LzLG9MdFpjjgTWvts8fY7wpgGtDNWpvsZ02Sa/0UyNoHLY+z9msK7l/wISDGJhDKyYFff3WBNfe2aZN7rmpVaNrUhc5u3YoOo7m3ypXVmioiYUPXZhERiTn+TuJ0me/uCGPMTKAa8GVxrzHGxAFjgH7ARuBHY8x0a+2yQvtVwXWDWlDC2iXX6jegWnuofWbx+72K6zZ8ZyiK8tbhw7BwYV5YnTcPdu1yz510klvKJvfWsaNaSkUk8ujaLCIiscjfFtgjrLWz/dz1dGC1tXYtgDFmMnApsKzQfk8BzwEPlrQWAXb9AmkL4NQXi28a3A+8CVwJNA5RbSG0fz98/31eYF2wAA755uJs3RouvzwvsDZvrlZUEYkuujaLiEisKHGALYGGwIZ8jzcC3fPvYIw5FWhsrf3MGHPMi6QxZgi+te2aNGlyrN1i05o3oEx5aH598fu9A+whapbO2bED5s51YfXbb+GnnyA727Wkdu0KQ4a4sNqrlxurKiIigK7NIiIS4YIZYItljCkDjAJuOt6+1tpxuHlzSUxMtMGtLIJkHYTf34XGV0D5WsfeLwd4GTdX5Rkhqi3A1q/PC6tz5sDy5W57+fJw+unw8MNw9tnQo4cb0yoiIiWna7OIiIS7YAbYTRTsrNrIty1XFaAjMMu4/pz1genGmEs0WYSf1k+FzD3Qckjx+30FrAT+j4hYOsdaWLXKhdXcwLrONy1J1arQsydcf71rYe3WzYVYERHxi67NIiIS0YIZYH8EWhljmuMujlcD1+Q+aa3dA9TOfWyMmQX8VRfIEljzBlRpDXXPLn6/0UAD4KpQFFVy2dnwyy8FW1i3bXPP1a3rWlYfeMB97dQJ4uK8rVdEJILp2iwiIhEtaAHWWptljBmKa/+LA96y1v5qjHkSSLbWTg/WuWPC7l9h+zw45fniZyRagfsXeAooF6LajuPwYUhOzgurc+fmrbvatClccIELq2ed5SZg0oRLIiKBoWuziIhEuqCOgbXWfg58Xmjb48fYt3cwa4k6a96EMvHQ/Mbi93sZKA/cHoqiinbgAMyfn9cleP58SE93z7VrB1dfnRdYNQ+IiEhw6dosIiKRzLNJnOQEZKfD7+9Ao8sgoc6x99sFvI3rHFbMbsGwaBFMnuwC68KFkJWVN0Pwn/+cN0Nw3bqhrUtERERERCKXAmwk2vAhHN4JLW8rfr83gYOEfOmcbdtci2pmppsh+MEH3eMzz9QMwSIiIiIiUnoKsJFo9TiofDLUO/fY+2QBrwLnAF1CVJfPM8/AoUPw66/Qtm1ozy0iIiIiItGrjNcFSAntXQXbZkOLW8EU88/3X2A9cF+I6vLZuBFeew1uvFHhVUREREREAksBNtKseQNMWTh5cPH7jQaaAxeHoqg8Tz0FOTnweJHTgYiIiIiIiJSeAmwkyc6AtROh4cVQof6x91sEzAGG4hZJCJE1a+Ctt2DIEGjWLHTnFRERERGR2KAAG0k2fgwZO6DlkOL3Gw1UAm4OQU35jBgBZcvCsGGhPa+IiIiIiMQGBdhIsfMnSL4LqrSC+v2Ovd9WYDJwE1A9JJUBbsKm996DoUOhQYPQnVdERERERGKHAmwk2PEDfH0uxFWC3l9AmWL6Bb8OHAbuCVVxzuOPQ+XK8PDDoT2viIiIiIjEDgXYcLf9O/imL5SrAf2+hSotjr1vBvAa8AegdYjqAxYuhA8/hPvvh9q1Q3deERERERGJLQqw4WzbtzDzfDdhU79voVLT4vefgutCfG8oisvz2GNQowY88EBozysiIiIiIrFFATZcpX4NM/tDxcbQdzZUbFT8/hY3eVM7oJghsoE2bx588YXrOlytWujOKyIiIiIisaes1wVIETZ/CXMug8ot4dwkqFDv+K+Zh1s+53XABLk+H2vdjMP16rnJm0RERCJNvfJN2ToiRBfOUqpX/jg9sEREYogCbLjZ+AnMvRKqtYc+MyDBz0Glo4EawPXBLK6gpCSYPRtefhkqVQrdeUVERAIl9ZGUgB/TPGGww23AjysiIupCHF42fAhzLofqXeC8b/wPr+uAD4HbgIpBrC+f3NbXJk1gyHGWpRUREREREQkEBdicbNjyP8jO8LaOdVNg7p+gVjc4d4abddhfY3Ddhu8KVnFHmz4dfvzRLZ9TvnzozisiIiIiIrFLXYhT3oP5N0Kl5tDlH9B0IJgQj4X5/V2YfxPU6QXnfArxVfx/7QHgDeAyoElwyissJ8fNPNyqFdx4Y2jOKSIiIiISacwT/ucKf/eN9SEKCrCp/4NyNSG+Knw3CFaMglNfgLpnh+b8a96CBbdCvT5wznQoW8LBpO8Cu4H7Al/asUyZAkuWwPvvQ1m9g0REREREihTrYTMYYrsLsbWQmgQnXQj9F8IZEyF9CySdA7MvhT0rgnv+316DBbdAg/Ndy2tJw2sObvKm04Azg1BfEbKyYPhw6NQJBg4MzTlFREREREQg1gPsnqWQvhXq94UycXDyjTBgletKvHUmfN4RfrgDDm0N/LlXjIYf74STBsDZH0PZCiU/xgxgBXAvIVs655134Lff4KmnoExsv3tERERERCTEYjuCpCa5r/X75m0rWwE6/A0uWQOt7oA1b8InLWHJk5B1IDDnXfY8LLoPGl8OZ30AcQmlO85ooB7wp8CUdTwZGfDEE9CtG1xySWjOKSIiIiIikksBtmpbqNjo6OcS6kDiK3DRr9DgAlgyHD5pBavfdDMXl9bSp2HxQ9D0aug5GeLKle44K4EvgDuAEM0C/MYbsH49PP106Oe5EhERERERid0Am30Yts0u2PpalKqt4axp0G8eVGoGP9wGX3SBTZ+7MbT+shZ+eRx+eQyaXQ893oUy8aWv/xWgHPDn0h+iJA4ehJEj4eyzoV+/0JxTREREREQkv9gNsGnzXZfg4wXYXHXOdCG21zS3Zuzsi+CbvrBz0fFfay38/DdY+hScfDOcMQHKnMD0vbuBicAgXBfiEHj1VUhNdSFWra8iIiIiIuKF2A2wqUlg4qBub/9fYww0ucJ1Kz7tZdj9M3x5Gnx3PRxYV/RrrIVFD8Cy59yY2u5vuAmjTsR43Pqv957YYfy1Zw889xz07w+9eoXmnCIiIiIiIoXFdoCtdTqUq1by18aVgzZ3w8VroP0jsGEafNIGfnoIDu/O28/mQPJQWPkStLkXEseAOcEfeTbwKnAWcMqJHcpfL74IO3e6sa8iIiIiIhIYkyZNomPHjsTFxdGxY0cmTZrkdUlhLzYD7OE9kPaD/92Hj6VcNej6jFt6p+lAWP4CTG8BK16C7HT44Xb4bSy0exBOfTEwfW+nAymErPU1LQ1GjYLLL4fTTgvNOUVEREREot2kSZMYNmwYr7zyCunp6bzyyisMGzZMIfY4YjPAbpsFNvvEA2yuSo2hx9tw4SKoeSosuh8+rOeW4OnwKHR9LnADR0cDTYFLA3O443nuOdi/H558MjTnExERERGJBSNHjmT8+PH06dOH+Ph4+vTpw/jx4xk5cqTXpYW1E5hJKIKlJkFcRah1RmCPW6Mr9PkfbPkf/PoUNLwY2j8cuOMvBmYDzxOSf7ktW9zkTddeCx06BP98IiIiIiKxYvny5fQqNMFMr169WL58uUcVRYbYbIFNTYK655R+DdbiGAMnXQD95gY2vAI8CVQEbgnsYY9l5EjIzIQRI0JzPhERERGRWNGuXTvmzp1bYNvcuXNp166dRxVFhtgLsAc3wt4V0CDCFjOdBnwEPArUCP7p1q2DcePg5puhRYvgn09EREREJJYMGzaMW265hZkzZ5KZmcnMmTO55ZZbGDZsmNelhbXY60KcmuS+Bmr8ayikAXfhZh3+a2hO+eSTUKYMPPZYaM4nIiIiIhJLBg0aBMDdd9/N8uXLadeuHSNHjjyyXYoWmwE2oS5U6+h1Jf67H9gJfAXEB/90q1bB22/D0KHQqFHwzyciIiIiEosGDRqkwFpCsdWF2FoXYOv1DdyswMH2OfAu8AjQNTSnHD4cypeHv/0tNOcTERERERHxR2wF2D1LIX1r5Ix/3QvcDrTHjX0NgV9+gcmT4d57oV690JxTRERERETEH7HVhTh3/Gu987ytw18PAZuAqUD50JzyscegWjV48MHQnE9ERERERMRfsdUCm5oEVdtApcZeV3J8s4B/A/cBAV6u9lgWLIDp0+Gvf4UaIZjpWEREREREpCRiJ8BmH4Zts93413B3ELgVaAE8HbrTPvoo1K7tug+LiIiIiIiEm9jpQpw2H7IORMb418eANcBMoGJoTjlrFiQlwb/+BVWqhOacIiIiIiIiJRE7LbCpSWDKQN3eXldSvAXAS7jJm3qH5pTWwrBhcNJJcMcdoTmniIiIiIhIScVOC2xqEtQ8HcpV87qSY8sAbgZOAv4ZutN+8QV89x289hpUqBC684qIiIiIiJREbLTAHt4DaT9A/TAf//o0sAw3eVPV0JzSWjf2tXlzuPnm0JxTRERERESkNIIaYI0x/Y0xK40xq40xjxTx/APGmGXGmF+MMV8bY5oGpZBts8Fmh/f415+BZ4HrgT+E7rRjx8JPP8GIEVCuXOjOKyIi3giba7OIiEgpBC3AGmPigDHAhUB7YJAxpn2h3X4CEq21nYFpBKvjbOoMiKsItUK0Hk1JZeG6DtcEXgzdaX/4Ae6/Hy66CK67LnTnFRERb4TVtVlERKQUgtkCezqw2lq71lp7GJgMXJp/B2vtTGvtQd/D+UCjoFSSmgR1z4G4MG1ifAFYhPuTolZoTrlzJ/zpT27ipnfegTKx0ZlcRCTWhc+1WUREpBSCGVsaAhvyPd7o23YstwBfFPWEMWaIMSbZGJO8ffv2klVxcCPsXRG+419XACOAy4ErQ3PKnBy44QbYvBmmToWaNUNzXhER8Vx4XJtFRERKKSza3Ywx1wGJwPNFPW+tHWetTbTWJtapU6dkB0/92n0NxwCbjfvToCKu9TVEnnsOPvsMXnwRunUL3XlFRCRyBPXaLCIiUkrBDLCbgMb5HjfybSvAGNMXGAZcYq3NCHgVqTMgoS5U71T08zm4DlI5AT/z8Y0BvsOt+1o/NKecNcvNOnz11XDnnaE5p4iIhI3wuDaLiIiUUjAD7I9AK2NMc2NMOeBqYHr+HYwxp+AWjbnEWrst4BVY68a/1usLxhS9z+tAD+BsXHfeUPkd+BvQHzfzcAhs2eKCa6tWMG7csX8kIiIStby/NouIiJyAoAVYa20WMBT4ClgO/Mda+6sx5kljzCW+3Z4HKgNTjTGLjTHTj3G40tnzK6RvPXb34WzcrL8n49Zf7Qo8A2QGtIqjWWAI7qf/byAEQTIrCwYNgn374IMPoEqV4J9TRETCS1hcm0VERE5A2WAe3Fr7OfB5oW2P57sf3IGpqUnu67EC7KfAauA/wFnA3cDfganAeOCUINX1FpAEjAWaBOkchTz2GMye7WYc7tAhNOcUEZHw4/m1WURE5ASExSROQZM6A6q2gUqNi35+FNAUuAw3BnUq8AGwGeiGC7PpAa5pE/AArsvy7QE+9jF8+ik8+ywMGQLXh6i7soiIiIiISKBFb4DNPgzbZrvxr0VZCHwL3EPBdujLcd2Jr8d1J+4KzAtQTRa4A9dFeTwh+emnpLglc045BUaPDv75REREREREgiV6A2zaAsg6cOzuwy8CVXDL2BRWE5iAGyGUjutefA+w/wRrmgx8AjwFtDzBY/khIwOuusqt+zp1KiQkBP+cIiIiIiIiwRK9ATY1CUwZqNf76Oc2AVOAW4FqxRzjfGApbrqLV4GOwP9KWc92XAg+HbivlMcooQcegORkmDgRWrQIzTlFRERERESCJYoD7AyoeTqUq370c6/i1n29x4/jVAZexnU3TgAuAAYDu0pYzz3AHtwETnElfG0pTJoEY8fCX/8Kf/xj8M8nIiIiIiISbNEZYA/vgbQfiu4+vB+39uvlQLMSHLMXsBi3duu7QHvgQz9f+19c9+FHgRDMALx8Odx2G/TqBf/4R/DPJyIiIiIiEgrRGWC3zQabXXSAfRvYjZsJuKQSgH/gloGvD1wBXAmkFvOa3biJmzoDj5TinCV04ABceSVUrAiTJ0N8fPDPKSIiIiIiEgrRGWBTkyCuItQ+o+D2HOAloDvQ4wSOfwrwAy7MfoprjX0bN8twYX8BtuG6Dpc7gXP6wVq4/XbXAvv++9CwYXDPJyIiIiIiEkpRGmBnQN1zIK58we2fAqspXetrYfG47sSLgXbATcCFwLp8+8zABde/AqcF4JzHMW4cvPcePPEE9NUy9CIiIiIiEmWiL8Ae3Ah7VxTdfXgU0AQ3/jVQ2gJzcBM9zcXNVDwG2AvcBrQGhgfwfMewcCHccw9ccAEMGxb884mIiIiIiIRa9AXY1K/d18IBdiEwG7gXKBvgc5YB7sYtudMDt+xOS2A9MB6oEODzFbJrl1vvtW5d+L//gzLR968qIiIiIiIS8CjnvdQkSKgL1TsW3P4ibkmcW4J47mbAV7jxsH/x3XoF8Xy4ca833QQbNsC330Lt2sE9n4iIiIgUZJ4wAd/XDi9qchURia4Aa60LsPXOA5OvGXITMAXXMlotyDUY3HjY6wlJ+/YLL8D06fDSS9DjRCamEhEREZFSUdgUCZ3oCrB7foX0VKjfr+D2V3EzEN8Twlrign+KOXPgb3+DK65w419FRERERESiWXSNlkxNcl/rn5e3bT/wOm7ipuYe1BQkW7fCwIFw8snw1ltg/O+5IiIiIiIiEpGiqwU2NQmqtIZKTfK2vQ3sBu73qKYgyM6Ga65xkzd9+SVUrep1RSIiIiIiIsEXPS2wOZmwbVbB2YdzgJeA7rjZgaPEiBHwzTcwdix07ux1NSIiIiIiIqERPQF2x3zIOlBw/OunwGrgAdzkSlHgiy/g6adh8GB3ExERERERiRXRE2BTk9zMw/V6520bBTTBjX+NAr//Dtdd51pdX33V62pERERERERCK7oCbM1uUK66e7wImI2beTiCR/paC/Pnw/XXQ9u2kJkJ06ZBxYpeVyYiIiIiIhJa0RFgM/dC2oKC419fBCoDt3pV1Ik5dMjNLpyY6NZ3/fhjuO02SE6GVq28rk5ERERERCT0IrhtMp+ts8Bm541/3QRMBoYC1bwrqzTWrIHXXnPhddcuaN8exoxxLbBVqnhdnYiIiIiIiHeiI8CmJkFcRah9hnv8Km4G4nu8LMp/2dluOZwxY9zXMmXgssvgrrvgnHO0xquIiIiIiAhEU4CtezbElYcDwL+By4DmHtd1HGlprqX1tdfcBE3168Njj8GQIdCwodfViYiIiIiIhJfID7AHN8He5dDiFvf4bWAXbumcMJWc7FpbJ0+G9HQ4+2x49lnX6hof73V1IiIiIiIi4SnyA2xqkvtav5/rNvwi0B3o4WFNRUhPhylTYOxY+OEHqFQJbroJ7rwTOnXyujoREREREZHwFx0BNqEuVO8InwCrgaeBMBk3mpLiugiPH++6DLdtCy+/DDfcANUibIIpERERERERL0V2gLXWBdh654Ep41pfmwBXhK6Ew4dh376Ct/37YccOmDQJPvvMTcp06aVuUqY+fTQpk4iIiIiISGlEdoDdswzSU936r4uAWcALlOi7ys6GOXNc62jhEFpUMC28LTPz2MeuVw+GDYPbb4dGjU7sWxUREREREYl1kR1gU2e4r/X7wgigMnCr/y/fsgWuuQZmzTr6ubJl3bqr+W+VK7uZgvM/Lmqf3Ptt20K5cif+bYqIiIiIiEjEB9gkqNIadjeBycBdgJ/jSmfMgOuuc62qr78OPXoUDKLlyqmrr4iIiIiISDiJ3ACbkwnbZkHzG2EMbgbie47/suxseOIJePppaNcOZs6E9u2DXKuIiIiIiIicsMgNsDsWQNYBqN4XXgcuA04u/iX5uwwPHgyvvOKWsxEREREREZHwF7kBNnWGm3k4qQ/sAu4vfvekJLj2WtdleOJEuPHGUBQpIiIiIiIigVLG6wJKLTUJanaDF6vD6cCZRe+WnQ2PPw7nnw+1a8OPPyq8ioiIiIiIRKLIbIHN3AtpCyD+EfgNN4FTERMuqcuwiIiIiIhI9IjMALt1Nths+LAvNAGuOHoXdRkWERERERGJLpHZhTh1BpiKMLUH3E2BGJ6dDcOHq8uwiIiIiIhItInMFtjUJNh2NiSUh1vzNqvLsIiIiIiISPSKvBbYnEzYuxyS+sItQHW3OSkJunaFH35wXYbfekvhVUREREREJJpEXoDN3Ou+LukL96jLsIiIiIiISKyIvC7EmXthXx04rRNbKsC1/WDmTLjpJnj1VbW6ioiIiIiIRKugtsAaY/obY1YaY1YbYx4p4vnyxpgpvucXGGOaHfegh/fCkr78eFYZunaF+fNhwgR3U3gVEREpXlCuzSIiIiEStABrjIkDxgAXAu2BQcaY9oV2uwXYZa1tCbwIPHf8I2exc2Nfut+f12X4ppsCWrqIiEhUCt61WUSKM2nSJDp27EhcXBwdO3Zk0qRJXpckYULvjZILZgvs6cBqa+1aa+1hYDJwaaF9LgXe9t2fBpxnjDHHO/Bjc/ty401uwqYOHQJZsoiISFQL2rVZRIo2adIkhg0bxiuvvEJ6ejqvvPIKw4YNU1ARvTdKKZgBtiGwId/jjb5tRe5jrc0C9gC1ijuozSzP6c82UZdhERGRkgvKtVlEjm3kyJGMHz+ePn36EB8fT58+fRg/fjwjR470ujTxmN4bpRMRkzgZY4YAQwBa1m3Mjbce5wUiIiISVPmvzU2aNPG4mtAwT/jfEO3vvna4LW05EiGWL19Or169Cmzr1asXy5cv96giCRd6b5ROMAPsJqBxvseNfNuK2mejMaYsUA1IK3wga+04YBxAYmKiftOLiIiUjq7NJ0BhU0qjXbt2zJ07lz59+hzZNnfuXNq1a+dhVRIO9N4onWB2If4RaGWMaW6MKQdcDUwvtM90IHfV1iuBb6y1ujqIiIgEh67NIiE2bNgwbrnlFmbOnElmZiYzZ87klltuYdiwYV6XJh7Te6N0gtYCa63NMsYMBb4C4oC3rLW/GmOeBJKttdOB8cC7xpjVwE7chVRERESCQNdmkdAbNGgQAHfffTfLly+nXbt2jBw58sh2iV16b5SOibQPVRMTE21ycrLXZYiISJQwxiy01iZ6XUck07VZREQCqbhrczC7EIuIiIiIiIgEjAKsiIiIiIiIRISI60JsjNkD/Bbgw1bDrXMXaME4bqzXGknff21gR4CPGUnff6QcM1jHjZRjBuu4kVRrK2tttQAfM6YYY7YD67yuI4wE4/e/RAe9N+RY9N4oqKm1tk5RT0TEOrCFTLHWDgnkAY0x4wJ9zGAdN9ZrjbDvPznQ4+oi7PuPiGMG67iRcsxgHTfSag3k8WLRsf7IiFXB+P0v0UHvDTkWvTf8F4ldiD+JkGMG67ixXmskff/BEEnff6QcM1jHjZRjBuu4qlVEREQCLuK6EItECn2SJiISm/T7X45F7w05Fr03/BeJLbAikULdEkVEYpN+/8ux6L0hx6L3hp/UAisiIiIiIiIRQS2wAWKM2X+c52cZY6KuW4AxppEx5r/GmN+MMWuMMaONMeWK2f8+Y0zFUNYowWOM+aMxxhpj2npdi9di8XeA/v+LiIhIqCnASqkZYwzwIfCxtbYV0BqoDIws5mX3AfoDNnoMAub6vvrNGBMXnHIkVPT/X0RERLygABtAxpjexphP8z1+1Rhzk4clBdu5QLq1dgKAtTYbuB+42RhTyRjzgjFmqTHmF2PM3caYe4CTgJnGmJke1h1Qx2t5i1bGmMpAL+AW4Grftt7GmG+NMZ8ZY1YaY143xpTxPbffGPMvY8zPQA/vKg+eGPsdoP//IiIiEnIKsHIiOgAL82+w1u4F1gO3As2ArtbazsB71tqXgc1AH2ttnxDXKoF3KfCltXYVkGaMOc23/XTgbqA90AK43Le9ErDAWtvFWjs35NVKoOn/v8Skwh9U+fmak4wx04JVk3irNO+JIo5xkzHmVd/9OsaYBcaYn4wxZx1j/4G+Dwh/NcY8l297eWPMFGPMat8xmp1IXXLiPHp/zPI1JCz23er6tkfF+0MBVoKlN/Bva20WgLV2p7flBJcxprIx5mtjzCJjzBJjzKW+7c2MMcuNMW/4LjL/M8ZU8LreABkETPbdn0xeN+IfrLVrfS1yk3CttADZwAehLVE80psY+v8v0SGYQxustZuttVcG6/gSHB4OdzkPWGKtPcVaO6fwk8aYWsDzwHnW2g5AfWPMeb6nbwF2WWtbAi8CzxV+vQRGuL4/8rnWWtvVd9vm2xYV7w8F2MDKouDPNMGrQkJkGXBa/g3GmKpAE2/K8VQ6cJm19lSgD/Av3xhBgFbAGN9FZjdwhTclBo4xpiauC+mbxpgU4EHgT4ABCk9tnvs43Rdqo1ks/Q7Q/3+JGL4PE1cYY97zfag4zRhT0RiTYox5zhizCLjKGHO+MeZ734eRU31DJTDG9Pe9fhF5vUqOda5z8rV6/GSMqeI7/1Lf8xWNMf8xxiwzxnzkawVJ9D233xjzvO8DzyRjzOm+lpS1xphL8n0vc3w1LjLGnBncn150CvF7orIxZoLvA+5fjDFX+LYPNsasMsb8APT0besK/BO41PceKupD75OB36y1232Pk8j72+JS4G3f/WnAefn+HhE/Rfj7ozhR8f5QgA2sdUB745rnq+M+IYlmXwMVjTE3wJFPov4FTAS+Am43xpT1PVfT95p9QJXQlxp0BviHMeYX3IWkIVDP99zv1trFvvsLcV0rI92VwLvW2qbW2mbW2sbA78BZwOnGmObGjX0diJvkKVbE0u8A/f+XSNMGGGutbQfsBe70bU/zffiYBDwK9PU9TgYeMMYkAG8AF+M+tKl/nPP8FbjLWtsV9zvxUKHn78S1gLQHHqPgB0GVgG98H3juA54G+gGXAU/69tkG9PPVOBB42e+fgBQWqvfEY8Aea20n37CKb4wxDYAncMGkF27YDb6/Fx4Hpvhazgq/fwBWA218Iass8Eegse+5hsAG37GygD1ALf9/JJJPpL4/ck3whdzH8oXUqHh/KMAGgO+XR4a1dgPwH2Cp7+tPnhYWZNYtInwZ7hOo34BVuJbIvwNv4sbC/WLcpD3X+F42DvjSRN8kLtcCdYDTfH+0bCWv9S0j337ZQNnQlhYUg4CPCm37wLf9R+BVYDku1BbeL+rE4u8A/f+XCLTBWjvPd///yBveMMX39QzcH4nzjDGLgRuBpkBb3AeRv/ne9/93nPPMA0YZN3FZ9dyu9Pn0wjf8wlq7FPgl33OHgS9995cAs621mb77zXzb44E3jDFLgKm+mqV0QvWe6AuMyX1grd0FdAdmWWu3W2sP5zvncflef4fvNXOAFNzfFxJYEfn+8LnWWtsJ9yHaWcD1JXx9WIuGP6TDQQdgDYC19iHgocI7WGt7h7imkPD9wX7xMZ5+wHfLv/8rwCvBrssD1YBt1tpMY0wf3C+wqFXUJDzW2pd9LdB/tdYOKOL5yiEpzhsx+TtA//8lwhxreMMB31cDzLDWFlgWzNdlz/+TWPusMeYz4A+4P2wvwH24449M3x+8ADn4PgC11ubk9mjAzfa9FeiCa4jw99hytJC8J4LBWvsJ8AmAMWYIeQF2E641dqPvPVMNSPOkyMgXye+PTb6v+4wx7+Mm2HyHKHl/qAX2BBlj/oybqOZRr2uR0MtteQPeAxJ9n4jfAKzwtDAJGf0OEIkYTYwxuUt4XcPRwxvmAz2NMS0BjFsOqjXu93kzY0wL337FrnttjGlhrV1irX0O1yOlbaFd5uHmDMAY0x7oVMLvoxqwxVqbg2tV0brapReS9wQwA7gr94ExpgawADjHGFPLGBMPXFWSwk3erLI1cF1b3/Q9NR3XEghuuM83+T4UkZKJyPeHMaasMaa27348MADXMwyi5P2hAHuCrLWvW2vbW2v/53Ut4okOwBpr7Q5rbQ/f+IXB1tp21toU361j7s7W2hestSO8Kze4rLWzimp9jWb6HSASMVYCdxljlgM1gNfyP+mbEOcmYJKvN8n3QFtrbTowBPjMNyHLNop3n/GtgQxkAl8Uen4sUMcYsww3xvVX3Dg0f40FbvR1z29LXmuQlFyo3hNPAzV874ufccuJbQFG+I45DzfspiRG+95D84BnrVvSDmA8UMsYsxrXC+aREh5X8kTq+6M88JWvpsW4Vtc3fM9FxfvDRGDoFgkLvpa3e4D7FF5ERMKXcWsdfpr/A0UPa4kD4q216b4WmiSgjW+cm4RIOL0nJPzo/RHeNAZWpJSsta8Dr3tdh4iIRJSKwExf1z4D3KnwKiLiP7XAioiIiJSQMWYwcG+hzfOstXcVtb9Ev2C8J4wxC3BdQvO73lq7pLTHFG/o/RE4CrAifjLGNMbN4FYPNxPdOGvtaN8al1NwSxykAH+y1u4yxlwLPIz7hH0fcIe19udjHSfU34+IiIiISKRRgBXxk29R6QbW2kXGmCrAQtzi4TcBO31LJzwC1LDWPmyMORNY7guzFwIjrLXdj3Uca+0yT74xEREREZEIoVmIRfxkrd1irV3ku78PNyNcQ+BS4G3fbm/jQi3W2u98i1GDm2q90XGOIyIiIiIixVCAFSkF3+x0p+DW6arnm+4cIBXXNbiwWzh6KYXCxxERERERkWJoFmKREjLGVAY+wC2fs9cYc+Q5a601xthC+/fBBdhexR0n6IWLiIiIiEQ4tcCKlIBv2YMPgPestR/6Nm/1jWvNHSe7Ld/+nYE3gUuttWnHOY6IiIiIiBRDAVbET8Y1tY7HTcw0Kt9T04EbffdvBP7r278J8CFuOvNVfhxHRERERESKoVmIRfxkjOkFzAGWADm+zX/HjV/9D9AEWIdbRmenMeZN4ArfNoAsa23isY5jrf08NN+JiIiIiEhkUoAVERERERGRiKAuxCIiIiIiIhIRFGBFREREREQkIijAioiIiIiISERQgBUREREREZGIoAArIiIiIiIiEUEBVkRERERERCKCAqyIiIiIiIhEhP8Hwz0RyAEx9zIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "### ACCURACY PLOTS ###\n",
    "\n",
    "plt.figure(figsize=(16,5))\n",
    "_ = plt.subplot(1,2,1)\n",
    "pd.DataFrame(acc).plot(ax=plt.gca(), color=['blue','magenta','orange'])\n",
    "plt.ylim([-0.03,1.03]); plt.ylabel('accuracy')\n",
    "ax = plt.subplot(1,2,2)\n",
    "_,props = pd.DataFrame(acc).plot.box(patch_artist=True, color='green', return_type='both', ax=ax)\n",
    "for patch,color in zip(props['boxes'],['blue','magenta','orange']):\n",
    "    patch.set_facecolor(color)\n",
    "plt.ylim([-0.03,1.03]); plt.ylabel('accuracy')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.12"
  },
  "papermill": {
   "default_parameters": {},
   "duration": 63.79734,
   "end_time": "2022-11-01T20:59:21.344610",
   "environment_variables": {},
   "exception": null,
   "input_path": "__notebook__.ipynb",
   "output_path": "__notebook__.ipynb",
   "parameters": {},
   "start_time": "2022-11-01T20:58:17.547270",
   "version": "2.3.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
